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April, 2004 A construction of a family of full compact minimal surfaces in 4-dimensional flat tori
Toshihiro SHODA
J. Math. Soc. Japan 56(2): 627-633 (April, 2004). DOI: 10.2969/jmsj/1191418648

Abstract

In this paper, we will construct a family of full compact oriented minimal surfaces of genus 3 with degenerate Gauss map in 4-dimensional flat tori, which are not holomorphic with respect to any complex structure of the tori.

Citation

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Toshihiro SHODA. "A construction of a family of full compact minimal surfaces in 4-dimensional flat tori." J. Math. Soc. Japan 56 (2) 627 - 633, April, 2004. https://doi.org/10.2969/jmsj/1191418648

Information

Published: April, 2004
First available in Project Euclid: 3 October 2007

zbMATH: 1059.53015
MathSciNet: MR2048477
Digital Object Identifier: 10.2969/jmsj/1191418648

Subjects:
Primary: 49Q05 , 53A10

Keywords: flat tori , minimal surfaces

Rights: Copyright © 2004 Mathematical Society of Japan

Vol.56 • No. 2 • April, 2004
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